Graduate Student Seminar: Semigroups for One-Dimensional Schrödinger Operators with Additive White Noise, SPEAKER:Pierre Yves Gaudreau Lamarre

Graduate Student Seminars
  • Pierre Yves Gaudreau Lamarre
  • Semigroups for One-Dimensional Schrödinger Operators with Additive White Noise
Feb 19, 2019
12:30 pm
Fine Hall 214

Title: Semigroups for One-Dimensional Schrödinger Operators with Additive White Noise

Abstract: In this talk, we are interested in understanding the semigroups generated by a class of Schrödinger operators whose potential is perturbed by an additive Gaussian white noise. In the first part of the talk, we will discuss some of the technical challenges involved with this problem, as well as a few applications in probability and mathematical physics that motivate our investigations. Then, we will present some of the results that can be proved in one dimension.